135838920 has 256 divisors, whose sum is σ = 497664000. Its totient is φ = 28993536.

The previous prime is 135838919. The next prime is 135838921. The reversal of 135838920 is 29838531.

135838920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135838919) and next prime (135838921).

It is not an unprimeable number, because it can be changed into a prime (135838921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1526236 + ... + 1526324.

It is an arithmetic number, because the mean of its divisors is an integer number (1944000).

Almost surely, 2^135838920 is an apocalyptic number.

135838920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135838920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248832000).

135838920 is an abundant number, since it is smaller than the sum of its proper divisors (361825080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135838920 is a wasteful number, since it uses less digits than its factorization.

135838920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 135838920 is about 11654.9954954946. The cubic root of 135838920 is about 514.0532075106.

The spelling of 135838920 in words is "one hundred thirty-five million, eight hundred thirty-eight thousand, nine hundred twenty".